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barxatty [35]
3 years ago
13

The length of the rectangle is twice its width. Write and solve a system of linear equations to find the length L and width W of

the rectangle (perimeter=36)
Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

The length is equal to 12 and the width is equal to 6.

Step-by-step explanation:

In order to find the values here, we start by setting the width equal to x. Now knowing this, we know that the length is twice that long. Therefore, the length would be equal to 2x. Now we can use the perimeter formula to solve the equation.

2L + 2W = P

2(2x) + 2(x) = P

4x + 2x = 36

6x = 36

x = 6

Now with the given value for x, we can tell that the width is 6 and then we multiply it by 2 to get the length value (12).

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Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value
DIA [1.3K]

The solution to the system of equation are x = -2 and y = 3

<h3>How to find the solution of a system of equation?</h3>

x + 3y = 7

2x + 4y = 8

Let's isolate x in the first equation

x = 7 - 3y

substitute the value of x in the second equation.

Therefore,

2(7 - 3y) + 4y = 8

14 - 6y + 4y = 8

-2y = 8 - 14

-2y = -6

y = -6 / -2

y = 3

Hence,

x + 3(3) = 7

x = 7 - 9

x = -2

learn more on equation here: brainly.com/question/12926248

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4 0
2 years ago
A baker uses 4 berries for every muffin which equation can be used to find the number of berries b needed to make m muffins
KATRIN_1 [288]

Answer:

b = 1/4m

Step-by-step explanation:

A baker uses 4 berries for every muffin which equation can be used to find the number of berries b needed to make m muffins

Given :

Berries = b

Muffins = m

4 berries for every muffin

4b = m - - - (1)

Th number of berries to make m muffins:

Make b the subject :

Divide both sides by 4

b = m/4

5 0
3 years ago
Finish the table using<br> the equation.<br><br><br> Anyone help please ! ?
solmaris [256]

Answer:

y = 0.5,  1,  1.5,  2

Step-by-step explanation:

x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2

hope this helped!

5 0
3 years ago
What two consecutive numbers have a sum of 53? Thanks! :P
Musya8 [376]
Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.

We now have our equation:

x + x + 1 = 53

Now solve for x.

x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26

So, the first number is 26 and the second number is 27.
4 0
4 years ago
Read 2 more answers
A pair of shoes at one store normally costs 65.75, but is 20% off. Another store has the same shoes but is offering 25% off. Wha
Tamiku [17]

Answer:

The shoes at the other store could be at the most 70.13.

Step-by-step explanation:

In order to find this, we need to set them equal to each other. Start by multiplying the first cost by the amount of the total price you'll be paying.

65.75 * 80%

And the other side would be the amount of the total price being paid times x.

x * 75%

Now set them equal to each other and solve.

65.75 * 80% = x * 75%

52.60 = x * 75%

70.13 = x

6 0
4 years ago
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